Atkin-Lehner |
2- 3- 11- 19+ |
Signs for the Atkin-Lehner involutions |
Class |
120384dn |
Isogeny class |
Conductor |
120384 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
32256 |
Modular degree for the optimal curve |
Δ |
-29253312 = -1 · 26 · 37 · 11 · 19 |
Discriminant |
Eigenvalues |
2- 3- 4 -2 11- -1 3 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-48,-290] |
[a1,a2,a3,a4,a6] |
j |
-262144/627 |
j-invariant |
L |
3.3849653423268 |
L(r)(E,1)/r! |
Ω |
0.84624143854738 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
120384bf1 30096bc1 40128bt1 |
Quadratic twists by: -4 8 -3 |